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Finding the Third Proportional to 122,703 and 262,890

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Solution

The third proportional to 122,703 and 262,890 is: 563,239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,703 : 262,890 = 262,890 : x
  2. Step 2: Convert to fraction form
    122,703/262,890 = 262,890/x
  3. Step 3: Cross multiply
    122,703x = 262,890 × 262,890
  4. Step 4: Simplify right side
    122,703x = 69,111,152,100
  5. Step 5: Solve for x
    x = 69,111,152,100/122,703
  6. Step 6: Final answer
    x = 563,239.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.